107945152 has 56 divisors (see below), whose sum is σ = 247838976. Its totient is φ = 45689088.

The previous prime is 107945147. The next prime is 107945203. The reversal of 107945152 is 251549701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35733 + ... + 38635.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2^107945152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

107945152 is an abundant number, since it is smaller than the sum of its proper divisors (139893824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107945152 is an equidigital number, since it uses as much as digits as its factorization.

107945152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 107945152 is about 10389.6656346583. The cubic root of 107945152 is about 476.1396854831.

The spelling of 107945152 in words is "one hundred seven million, nine hundred forty-five thousand, one hundred fifty-two".